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Finding the Fourth Proportional to 30,643.68, 42,289.79 and 17,219.15

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Solution

The fourth proportional to 30,643.68, 42,289.79 and 17,219.15 is: 23,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.68 : 42,289.79 = 17,219.15 : x
  2. Step 2: Convert to fraction form
    30,643.68/42,289.79 = 17,219.15/x
  3. Step 3: Cross multiply
    30,643.68x = 42,289.79 × 17,219.15
  4. Step 4: Simplify right side
    30,643.68x = 728,194,098.52
  5. Step 5: Solve for x
    x = 728,194,098.52/30,643.68
  6. Step 6: Final answer
    x = 23,763.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.